Patients undergo leukapheresis or weekly phlebotomy for the collection of peripheral blood mononuclear cells from which autologous antigen-specific CD8+ cytotoxic T-lymphocyte (CTL) clones are generated. Patients receive autologous antigen-specific CD8+ CTL clones IV over 30-60 minutes on days 0 and 21 in the absence of rapid disease progression or unacceptable toxicity. Patients also receive fludarabine IV once daily on days 14-18.